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Finding the Fourth Proportional to 507,736, 700,683.36 and 278,291.44

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Solution

The fourth proportional to 507,736, 700,683.36 and 278,291.44 is: 384,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,736 : 700,683.36 = 278,291.44 : x
  2. Step 2: Convert to fraction form
    507,736/700,683.36 = 278,291.44/x
  3. Step 3: Cross multiply
    507,736x = 700,683.36 × 278,291.44
  4. Step 4: Simplify right side
    507,736x = 194,994,181,238.44
  5. Step 5: Solve for x
    x = 194,994,181,238.44/507,736
  6. Step 6: Final answer
    x = 384,046.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.